MATH 221 Midterm: Kansas State MATH 221 221t1f07

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[u + sin u cos u] + c. 1 n + 1 u un+1 + c if n 6= 1. Z cos u du = sin u + c: z un du , z du. = ln|u| + c: z eu du = eu + c, z sin u du = cos u + c, z sin2 u du = 1 cscn 2 u cot u + sinn 1 u cos u + Trigonometry formulas sin(u + v) = sin u cos v + cos u sin v cos(u + v) = cos u cos v sin u sin v tan(u + v) = tan u + tan v. 1 + tan u tan v sin2 u = cos2 u = 2 (1 cos 2u) (1 + cos 2u) sin 2u = 2 sin u cos u cos 2u = cos2 u sin2 u.

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